359744 has 56 divisors (see below), whose sum is σ = 902208. Its totient is φ = 138240.

The previous prime is 359731. The next prime is 359747. The reversal of 359744 is 447953.

359744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 359744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4892 + ... + 4964.

2³⁵⁹⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451104).

359744 is an abundant number, since it is smaller than the sum of its proper divisors (542464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

359744 is a wasteful number, since it uses less digits than its factorization.

359744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 359744 is about 599.7866287272. The cubic root of 359744 is about 71.1209997822.

Subtracting 359744 from its reverse (447953), we obtain a square (88209 = 297²).

It can be divided in two parts, 35 and 9744, that added together give a palindrome (9779).

The spelling of 359744 in words is "three hundred fifty-nine thousand, seven hundred forty-four".